639659344896 has 1408 divisors, whose sum is σ = 2440396062720. Its totient is φ = 162437529600.

The previous prime is 639659344889. The next prime is 639659344897. The reversal of 639659344896 is 698443956936.

639659344896 = 346³ + 347³ + ... + 1266³.

It is a happy number.

639659344896 is a `hidden beast` number, since 6 + 3 + 9 + 6 + 5 + 93 + 448 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (906992640) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (639659344897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2083580775 + ... + 2083581081.

It is an arithmetic number, because the mean of its divisors is an integer number (1733235840).

Almost surely, 2^639659344896 is an apocalyptic number.

639659344896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639659344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220198031360).

639659344896 is an abundant number, since it is smaller than the sum of its proper divisors (1800736717824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

639659344896 is a wasteful number, since it uses less digits than its factorization.

639659344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its digits is 906992640, while the sum is 72.

The spelling of 639659344896 in words is "six hundred thirty-nine billion, six hundred fifty-nine million, three hundred forty-four thousand, eight hundred ninety-six".